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Simplifying 7 + -1(3 + 4a) + 2a = -5(a + -1) + -3 7 + (3 * -1 + 4a * -1) + 2a = -5(a + -1) + -3 7 + (-3 + -4a) + 2a = -5(a + -1) + -3 Combine like terms: 7 + -3 = 4 4 + -4a + 2a = -5(a + -1) + -3 Combine like terms: -4a + 2a = -2a 4 + -2a = -5(a + -1) + -3 Reorder the terms: 4 + -2a = -5(-1 + a) + -3 4 + -2a = (-1 * -5 + a * -5) + -3 4 + -2a = (5 + -5a) + -3 Reorder the terms: 4 + -2a = 5 + -3 + -5a Combine like terms: 5 + -3 = 2 4 + -2a = 2 + -5a Solving 4 + -2a = 2 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 4 + -2a + 5a = 2 + -5a + 5a Combine like terms: -2a + 5a = 3a 4 + 3a = 2 + -5a + 5a Combine like terms: -5a + 5a = 0 4 + 3a = 2 + 0 4 + 3a = 2 Add '-4' to each side of the equation. 4 + -4 + 3a = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 2 + -4 3a = 2 + -4 Combine like terms: 2 + -4 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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